Abstract
We derive regularity properties for the density of states in the Anderson model on a one-dimensional strip for potentials with singular continuous distributions. For example, if the characteristic function is infinitely differentiable with bounded derivatives and together with all its derivatives goes to zero at infinity, we show that the density of states is infinitely differentiable.
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Klein, A., Lacroix, J. & Speis, A. Regularity of the density of states in the Anderson model on a strip for potentials with singular continuous distributions. J Stat Phys 57, 65–88 (1989). https://doi.org/10.1007/BF01023635
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DOI: https://doi.org/10.1007/BF01023635